Logarithms math problem :(

I've been trying to simplify this, but I can't. Could somebody give me through the first steps?
log(2root10) - 1/3 log (0.8) - log (10/3)
I got to: -1/2 + log 6 - 1/3 log (0.8) but I'm stuck there.
The solution should be -1/6 + log 3